5. In a certain school, \(32 \%\) of Year 9 pupils are left-handed. A random sample of 10 Year 9 pupils is chosen.
- Find the probability that none are left-handed.
- Find the probability that at least two are left-handed.
- Use a suitable approximation to find the probability of getting more than 5 but less than 15 left-handed pupils in a group of 35 randomly selected Year 9 pupils.
Explain what adjustment is necessary when using this approximation.
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